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505223132000 = 2553271466073
BaseRepresentation
bin1110101101000011010…
…01010011001101100000
31210022001212110022100212
413112201221103031200
531234144110211000
61024032445033252
751333620523416
oct7264151231540
91708055408325
10505223132000
1118529a317914
1281aba255828
13388472a2822
141a64aba92b6
15d21e462c35
hex75a1a53360

505223132000 has 96 divisors (see below), whose sum is σ = 1245916473984. Its totient is φ = 201343104000.

The previous prime is 505223131981. The next prime is 505223132023. The reversal of 505223132000 is 231322505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850964 + ... + 1317036.

It is an arithmetic number, because the mean of its divisors is an integer number (12978296604).

Almost surely, 2505223132000 is an apocalyptic number.

505223132000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505223132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622958236992).

505223132000 is an abundant number, since it is smaller than the sum of its proper divisors (740693341984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505223132000 is a wasteful number, since it uses less digits than its factorization.

505223132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466369 (or 466351 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 505223132000 its reverse (231322505), we get a palindrome (505454454505).

The spelling of 505223132000 in words is "five hundred five billion, two hundred twenty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 271 400 500 542 800 1000 1084 1355 2000 2168 2710 4000 4336 5420 6775 8672 10840 13550 21680 27100 33875 43360 54200 67750 108400 135500 216800 271000 466073 542000 932146 1084000 1864292 2330365 3728584 4660730 7457168 9321460 11651825 14914336 18642920 23303650 37285840 46607300 58259125 74571680 93214600 116518250 126305783 186429200 233036500 252611566 372858400 466073000 505223132 631528915 932146000 1010446264 1263057830 1864292000 2020892528 2526115660 3157644575 4041785056 5052231320 6315289150 10104462640 12630578300 15788222875 20208925280 25261156600 31576445750 50522313200 63152891500 101044626400 126305783000 252611566000 505223132000